A liquid of mass M and specific heat S is at a temperature $$2$$ t. If another liquid of mass M and thermal capacity $$1.5$$ times, at a temperature of $$t/3$$ is added to it, the resultant temperature will be:

Question

Infinity Learn · Accepted Answer

Let the common temperature of the mixture be T.For first liquid, mass, M, specific heat of liquid, S and initial temperature of liquid, $$2t$$.For second liquid, mass, M, specific heat of liquid, $$1.5$$ S and initial temperature of liquid, $$t3Heat$$ loss by the hot liquid $$=$$ Heat consumed by cold $$liquidMS(2t$$−$$T)=M(1.5S)T$$−$$t3$$⇒$$2t$$−$$T=1.5T$$−$$t2$$⇒$$52T=52t$$⇒$$T=t$$

A liquid of mass M and specific heat S is at a temperature 2 t. If another liquid of mass M and thermal capacity 1.5 times, at a temperature of t/3 is added to it, the resultant temperature will be:

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